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Geometric Modelling, Numerical Simulation, and Optimization : Applied Mathematics at SINTEF
This book present scurrent activities of the Department of AppliedMathem- ics at SINTEF, the largest independent research organisation in Scandinavia. The book contains fteenpaperscontributedby employeesandfellowpartners from collaborating institutions. The research and development work within the department is focused on three main subject areas,andthestructureof the book refectsthisclustering: Part I Geometric Modelling Part II Numerical Simulation Part III Optimization Addressing Mathematics for Industry and Society, each contribution - scribesa problems ettingthatis of practical relevanceinone of thethreeareas and communicates the authors' own experiences in tackling these problems.
Geometric Modeling and Processing - GMP 2006 ; 4th International Conference, GMP 2006, Pittsburgh, PA, USA, July 26-28, 2006, Proceedings
This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006. The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.
Geometric Modeling and Algebraic Geometry
The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has developed impressive - sults for understanding the theoretical nature of these objects, geometric modeling focuses on practical applications of virtual shapes de?ned by algebraic equations. Recently, however, interaction between the two ?elds has stimulated new research. For instance, algorithms for solving intersection problems have bene?ted from c- tributions from the algebraic side.
Geometric mechanics on riemannian manifolds : Applications to partial differential equations
This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger's, Einstein's and Newton's equations. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases (e.g., the case of quartic oscillators) these methods do not work. New geometric methods are introduced in the work that have the advantage of providing quantitative or at least qualitative descriptions of operators, many of which cannot be treated by other methods. And, conservation laws of the Euler–Lagrange equations are employed to solve the equations of motion qualitatively when quantitative analysis is not possible. It includes : Lagrangian formalism on Riemannian manifolds; energy momentum tensor and conservation laws; Hamiltonian formalism; Hamilton–Jacobi theory; harmonic functions, maps, and geodesics; fundamental solutions for heat operators with potential; and a variational approach to mechanical curves.
Geometric Integration Theory
This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics
Geometric Fundamentals of Robotics
Geometric Fundamentals of Robotics provides an elegant introduction to the geometric concepts that are important to applications in robotics. This second edition is still unique in providing a deep understanding of the subject: rather than focusing on computational results in kinematics and robotics, it includes significant state-of-the art material that reflects important advances in the field, connecting robotics back to mathematical fundamentals in group theory and geometry.
Geometric Data Analysis : From Correspondence Analysis to Structured Data Analysis
Geometric Data Analysis (GDA) is the name suggested by Stanford University to designate the approach to Multivariate Statistics initiated.as Correspondence Analysis, an approach that has become more and more used and appreciated over the years. This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the approach - and shows also how to integrate the standard statistical tools such as Analysis of Variance, including Bayesian methods. Chapter 9, Research Case Studies, is nearly a book in itself; it presents the methodology in action on three extensive applications, one for medicine, one from political science, and one from education (data borrowed from the Stanford computer-based Educational Program for Gifted Youth ). Thus the readership of the book concerns both mathematicians interested in the applications of mathematics, and researchers willing to master an exceptionally powerful approach of statistical data analysis.
Geometric and Topological Methods for Quantum Field Theory
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.
Geometric and Engineering Drawing
Descriptive geometry and contemporary drafting guides the student through the essential principles to create engineering drawings that comply with international standards of technical product specification. This heavily updated new edition now applies to CAD as well as conventional drawing.
Geometric Algebra for Computer Graphics
The first five chapters review the algebras of real numbers, complex numbers, vectors, and quaternions and their associated axioms, together with the geometric conventions employed in analytical geometry. As well as putting geometric algebra into its historical context, John Vince provides chapters on Grassmann’s outer product and Clifford’s geometric product, followed by the application of geometric algebra to reflections, rotations, lines, planes and their intersection. The conformal model is also covered, where a 5D Minkowski space provides an unusual platform for unifying the transforms associated with 3D Euclidean space.
Geomagnetics for aeronautical safety : A case study in and around the Balkans
Flying safely in aircraft implies the use of navigation instruments. Among them, the magnetic compass is still a first choice for orientation and it is compulsory in all aircraft. In our increasingly sophisticated but fragile world of global navigation systems and gyroscopic sensors, the compass is especially useful as a back-up: it is highly reliable and likely to survive in harsh electromagnetic aggressions or when all power supplies fail. This book examines in detail how the science of geomagnetism is able to promote correct use of the magnetic compass for navigation. A selected group of specialists met in Ohrid, Macedonia to expose their approaches to the question. Using techniques from Geology, Instrument science, Magnetism, Chaos theory and Potential Fields applied to the Balkan region and surroundings, they put together a roadmap to fully tackle the issue of measurement, analysis, mapping and forecasting the magnetic declination in support of aeronautical safety.
Geological atlas of Africa : With notes on stratigraphy, tectonics, economic geology, geohazards, geosites and geoscientific education of each country
T is atlas is intended primarily for anybody who is in-some background for the arrangement of how the terested in basic geology of Africa. Its originality lies atlas was done. T e second chapter is devoted to the in the fact that the regional geology of each African history of geological mapping in Africa, necessary nation or territory is reviewed country-wise by maps for a fuller appreciation of why this work in Africa is and text, a view normally not presented in textbooks worth doing. Chapter 3 provides an executive s- of regional geology. It is my belief, that there has long mary on the stratigraphy and tectonics of Africa as a been a need in universities and geological surveys, whole, i. e. in the context of no political boundaries.
Geographic Information Science ; 5th International Conference, GIScience 2008, Park City, UT, USA, September 23-26, 2008. Proceedings
This book constitutes the refereed proceedings of the 5th International Conference on Geographic Information Secience, GIScience 2008, held in Park City, UT, USA, in September 2008.The 24 revised full papers presented were carefully reviewed and selected from 77 submissions. Among the traditional topics addressed are spatial relations, geographic dynamics, and spatial data types. A significant number of papers deal with navigation networks, location-based services, and spatial information query and retrieval. Geo-sensors, mobile computing, and Web mapping rank among the important new directions.
Geographic Hypermedia : Concepts and Systems
This book introduces a new paradigm, Geographic Hypermedia, which emerges from the convergence of Geographic Information Science and - permedia technology. Both GI Science and hypermedia have been rapidly evolving fields. The initial idea of Geographic Hypermedia was born in 2004 when the editors had been invited to organize a workshop in conju- tion with the ‘Hypertext’ conference organized annually by the Special - terest Group of the Association for Computing Machinery. The purpose of the workshop was to examine how hypermedia concepts and tools may be applied in geographical domains. The workshop was eventually held in conjunction with the Maps and the Internet Commission of the International Cartographic Association at the annual meeting of the Association of American Geographers in Denver, Colorado, in April 2005. The Denver workshop was a successful event, bringing together mul- disciplinary researchers and professionals in the area of Geographic - permedia.
geoENV VI - Geostatistics for Environmental Applications : Proceedings of the Sixth European Conference on Geostatistics for Environmental Applications
This volume contains how geostatistics is applied within the environmental sciences. A few selected theoretical contributions are also included.
Geodetic Deformation Monitoring : From Geophysical to Engineering Roles ; IAG Symposium Jaén, Spain, March 7-19,2005
Geodesy is the science dealing with the determination of the position of points in space, the shape and gravity field of the Earth and with their time variations. A consequence is that geodesists feel as a permanent subject of research, the detection, analysis and interpretation of spatial deformation as well as gravity field variation. This book collects 36 selected papers from the International Symposium on Geodetic Deformation Monitoring held in Jaén (Spain) from 17th to 19th March 2005. The main topics covered in the symposium were: mathematical and statistical models for crustal deformation analysis, deformation monitoring from GPS and InSAR data: analysis and geophysical interpretation, geodetic monitoring of movements in civil engineering, integration of spatial and terrestrial techniques in deformation studies, geodynamical applications of gravimetric observations and present-day geodetic instrumentation for deformation monitoring. This volume is a good overview of theoretical matters, models and results.
Geodetic and geophysical observations in Antarctica : An overview in the IPY perspective
This book is a collection of papers on various aspects of the scientific investigation and observation techniques of the polar regions at both temporary and permanent observatories. Most papers focus on regional models based on data acquired in polar regions. Geodetic satellite positions systems (GNSS: GPS, GLONASS, GALILEO) will also be discussed as well as other space techniques (DORIS, VLBI). Gravimetry, absolute gravimetry, and tidal gravimetry are also discussed, as well as seismology and meteorology.
Gentamicin : Biosynthesis, medicinal applications and potential side effects
Discusses the biosynthesis, medicinal applications and potential side effects of Gentamicin. Topics include Gentamicin used in combination therapy and applied to medicinal materials for clinical applications; use of natural products to enhance the antibiotic activity of Gentamicin and other aminoglycosides; regiospecific Gentamicin functionalization; Gentamicin and particle engineering; and the indications and adverse effects of Gentamicin.
Genomics-assisted crop improvement ; Vol.2 : Genomics applications in crops
Genomics research has great potential to revolutionize the discipline of plant breeding. This two-volume set provides a critical assessment of genomics tools and approaches for crop breeding. Volume 2, entitled "Genomics Applications in Crops", compiles crop-specific studies that summarize both the achievements and limitations of genomics research for crop improvement.
Genome editing in neurosciences
Innovations in molecular biology are allowing neuroscientists to study the brain with unprecedented resolution, from the level of single molecules to integrated gene circuits. Chief among these innovations is the CRISPR-Cas genome editing technology, which has the precision and scalability to tackle the complexity of the brain. This Colloque Médecine et Recherche has brought together experts from around the world that are applying genome editing to address important challenges in neuroscience, including basic biology in model organisms that has the power to reveal systems-level insight into how the nervous system develops and functions as well as research focused on understanding and treating human neurological disorders.
